I'm not sure there is an age limit when going through recruitment at ASU. We have had some older ladies go through in the past. The degree thing I'm not sure about?
Most groups I think will look at the information that is required to filled out on the application. Date of HS graduation and Previous colleges you have attended. There is also a question on how many college credits you have.
I'm not saying it is impossible, but I think it would be challenging for you as a 24 year old. If you are able to participate I would. If nothing else you will get to meet new people and it would be an experience.
ASU's recruitment is getting more competitive each year. Not SEC competitive....yet
I would be prepared with recommendations to each chapter. Most chapters will invite back to the first invitational round with a recommendation.
Good luck to you.